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Weak specification properties and large deviations for non-additive potentials

Published online by Cambridge University Press:  09 October 2013

PAULO VARANDAS
Affiliation:
Departamento de Matemática, Universidade Federal da Bahia, Av. Ademar de Barros s/n, 40170-110 Salvador, Brazil email paulo.varandas@ufba.br
YUN ZHAO
Affiliation:
Departament of Mathematics, Soochow University, Suzhou 215006, Jiangsu, P.R. China email zhaoyun@suda.edu.cn

Abstract

We obtain large deviation bounds for the measure of deviation sets associated with asymptotically additive and sub-additive potentials under some weak specification properties. In particular, a large deviation principle is obtained in the case of uniformly hyperbolic dynamical systems. Some applications to the study of the convergence of Lyapunov exponents are given.

Type
Research Article
Copyright
© Cambridge University Press, 2013 

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